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Finding the Third Proportional to 309,700.50 and 478,632

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Solution

The third proportional to 309,700.50 and 478,632 is: 739,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,700.50 : 478,632 = 478,632 : x
  2. Step 2: Convert to fraction form
    309,700.50/478,632 = 478,632/x
  3. Step 3: Cross multiply
    309,700.50x = 478,632 × 478,632
  4. Step 4: Simplify right side
    309,700.50x = 229,088,591,424
  5. Step 5: Solve for x
    x = 229,088,591,424/309,700.50
  6. Step 6: Final answer
    x = 739,710.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.